Which table represents a linear function? y=3,7,11,15 y=3,8,15,21 y=3,9,3,9 y=3,9,27,81?
steposvetlana [31]
The table that represents a linear function is y=3,7,11,15
<h3>How to determine the table?</h3>
For a table to represent a linear function, the table must have a constant rate of change i.e. a common difference
From the list of options, we have:
y=3,7,11,15
The difference between each y value is 4
i.e. 7 - 3 = 11 - 7 = 15 - 11 = 4
Hence, the table that represents a linear function is y=3,7,11,15
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Answer: x = 131
Reasoning: Alternate interior angle theorem
The angles shown are inside the parallel lines, so they are interior angles. They are also considered alternate angles because they are on alternating sides of the transversal cut. Alternate interior angles are congruent when we have parallel lines like this.
Answer:
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Step-by-step explanation:
After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially.
This means that the amount of caffeine after t hours is given by:

In which A(0) is the initial amount and k is the decay rate, as a decimal.
The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722.
1 - 0.2722 = 0.7278, thus,
. We use this to find k.







Then

What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body?
We have to find find A(5), as a function of A(0). So


The decay factor is:
1 - 0.8531 = 0.1469
The 5-hour decay factor for the number of mg of caffeine in Ben's body is of 0.1469.
Answer:
{-4.6, -4.2, -3.8, -3.4}
Step-by-step explanation:
The length of the space Karlie is dividing is -3-(-5) = 2 units. Then the length of each of those equal 5 spaces will be 2/5 units = 0.4 units.
Each mark on the number line is 0.4 units to the right of the previous one. The first (left-most) mark is 0.4 units to the right of -5, so is at -5+0.4 = -4.6.
The marks have to be placed at -4.6, -4.2, -3.8, and -3.4.
Answer:
Answer is third option no.4